Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 27 to 22 computations (18.5% saved)

sample214.0ms (8.7%)

Algorithm

1×

intervals

Results

27.0ms	256×	body	256	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 48 to 40 computations (16.7% saved)

simplify167.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

955×	`fma-def_binary64`
760×	`unsub-neg_binary64`
633×	`distribute-neg-in_binary64`
628×	`distribute-rgt-neg-in_binary64`
564×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	35	19
2	98	17
3	302	15
4	923	7
5	2332	7
6	3226	7
7	3864	7
8	4544	7
9	4793	7
10	4822	7
11	4798	7
12	4830	7
13	4680	7
14	4874	7
15	4821	7

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.4b	(.f64 t (.f64 t 1/25000000000000000000000000000000))

Compiler

Compiled 37 to 28 computations (24.3% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 t (.f64 t 1/25000000000000000000000000000000))
✓	0.4b	(*.f64 t 1/25000000000000000000000000000000)

series4.0ms (0.2%)

Counts

2 → 24

Calls

2 calls:

3.0ms	(.f64 t (.f64 t 1/25000000000000000000000000000000))
2.0ms	(*.f64 t 1/25000000000000000000000000000000)

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
9×	`pow1_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`associate-l_binary64`

Counts

2 → 40

Calls

2 calls:

4.0ms	(.f64 t (.f64 t 1/25000000000000000000000000000000))
3.0ms	(*.f64 t 1/25000000000000000000000000000000)

simplify74.0ms (3%)

Algorithm

1×	egg-herbie

Rules

970×	`fma-def_binary64`
331×	`associate-l_binary64`
261×	`associate-*r/_binary64`
229×	`associate-*l/_binary64`
217×	`*-commutative_binary64`

Counts

64 → 62

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	478
1	112	430
2	327	421
3	594	419
4	851	419
5	1427	419
6	3364	419
7	4801	419
8	4930	419

prune39.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	58	4	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	5	63

Error

0.0b

Counts

63 → 5

Alt Table

Status	Error	Program
✓	0.4b	(.f64 t (.f64 t 1/25000000000000000000000000000000))
	0.6b	(cbrt.f64 (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 (.f64 t 1/25000000000000000000000000000000) (.f64 t 1/25000000000000000000000000000000)) (.f64 t 1/25000000000000000000000000000000))))
	0.5b	(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
▶	0.3b	(.f64 t (.f64 (*.f64 t 1/5000000000000000) (sqrt.f64 1/25000000000000000000000000000000)))
	0.7b	(.f64 t (.f64 (.f64 (sqrt.f64 t) 1/5000000000000000) (.f64 (sqrt.f64 t) 1/5000000000000000)))

Compiler

Compiled 681 to 439 computations (35.5% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 t 1/5000000000000000)
✓	0.2b	(.f64 (.f64 t 1/5000000000000000) (sqrt.f64 1/25000000000000000000000000000000))
✓	0.2b	(.f64 t (.f64 (*.f64 t 1/5000000000000000) (sqrt.f64 1/25000000000000000000000000000000)))

series6.0ms (0.2%)

Counts

3 → 36

Calls

3 calls:

3.0ms

(*.f64 t (*.f64 (*.f64 t 1/5000000000000000) (sqrt.f64 1/25000000000000000000000000000000)))

2.0ms

(*.f64 (*.f64 t 1/5000000000000000) (sqrt.f64 1/25000000000000000000000000000000))

1.0ms

(*.f64 t 1/5000000000000000)

rewrite17.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-cbrt-cube_binary64`
19×	`add-exp-log_binary64`
19×	`pow1_binary64`
10×	`associate-r_binary64`
10×	`add-sqr-sqrt_binary64`

Counts

3 → 66

Calls

3 calls:

5.0ms

(*.f64 t (*.f64 (*.f64 t 1/5000000000000000) (sqrt.f64 1/25000000000000000000000000000000)))

4.0ms

(*.f64 (*.f64 t 1/5000000000000000) (sqrt.f64 1/25000000000000000000000000000000))

3.0ms

(*.f64 t 1/5000000000000000)

simplify77.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

649×	`unswap-sqr_binary64`
623×	`fma-def_binary64`
280×	`*-commutative_binary64`
272×	`associate-*r/_binary64`
234×	`associate-*l/_binary64`

Counts

102 → 88

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	751
1	174	652
2	571	640
3	854	638
4	1191	638
5	1833	638
6	4792	638
7	4941	638

prune48.0ms (2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	88	5	93

Error

Counts

93 → 5

Alt Table

Status	Error	Program
✓	0.4b	(.f64 t (.f64 t 1/25000000000000000000000000000000))
	0.6b	(cbrt.f64 (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 (.f64 t 1/25000000000000000000000000000000) (.f64 t 1/25000000000000000000000000000000)) (.f64 t 1/25000000000000000000000000000000))))
▶	0.5b	(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
	0.6b	(.f64 t (.f64 t (*.f64 1/5000000000000000 (sqrt.f64 1/25000000000000000000000000000000))))
✓	0.3b	(.f64 t (.f64 (*.f64 t 1/5000000000000000) (sqrt.f64 1/25000000000000000000000000000000)))

Compiler

Compiled 1161 to 863 computations (25.7% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))

series3.0ms (0.1%)

Counts

1 → 0

Calls

1 calls:

3.0ms

(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
8×	`associate-r_binary64`
6×	`add-exp-log_binary64`
4×	`unswap-sqr_binary64`
4×	`unpow-prod-down_binary64`

Counts

1 → 29

Calls

1 calls:

11.0ms

(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))

simplify78.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

964×	`fma-def_binary64`
644×	`unswap-sqr_binary64`
397×	`log-prod_binary64`
394×	`sqr-pow_binary64`
337×	`*-commutative_binary64`

Counts

29 → 45

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	303
1	98	231
2	199	221
3	637	215
4	1073	215
5	2846	215
6	3959	215
7	4849	215
8	4882	215

prune30.0ms (1.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	45	5	50

Error

Counts

50 → 5

Alt Table

Status	Error	Program
✓	0.4b	(.f64 t (.f64 t 1/25000000000000000000000000000000))
	0.6b	(cbrt.f64 (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 (.f64 t 1/25000000000000000000000000000000) (.f64 t 1/25000000000000000000000000000000)) (.f64 t 1/25000000000000000000000000000000))))
✓	0.5b	(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
▶	0.6b	(.f64 t (.f64 t (*.f64 1/5000000000000000 (sqrt.f64 1/25000000000000000000000000000000))))
✓	0.3b	(.f64 t (.f64 (*.f64 t 1/5000000000000000) (sqrt.f64 1/25000000000000000000000000000000)))

Compiler

Compiled 534 to 404 computations (24.3% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 t (.f64 t (*.f64 1/5000000000000000 (sqrt.f64 1/25000000000000000000000000000000))))
✓	0.4b	(.f64 t (.f64 1/5000000000000000 (sqrt.f64 1/25000000000000000000000000000000)))
✓	1.0b	(*.f64 1/5000000000000000 (sqrt.f64 1/25000000000000000000000000000000))

series7.0ms (0.3%)

Counts

3 → 24

Calls

3 calls:

4.0ms

(*.f64 t (*.f64 1/5000000000000000 (sqrt.f64 1/25000000000000000000000000000000)))

3.0ms

(*.f64 t (*.f64 t (*.f64 1/5000000000000000 (sqrt.f64 1/25000000000000000000000000000000))))

0.0ms

(*.f64 1/5000000000000000 (sqrt.f64 1/25000000000000000000000000000000))

rewrite17.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-cbrt-cube_binary64`
19×	`add-exp-log_binary64`
19×	`pow1_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`cbrt-unprod_binary64`

Counts

3 → 67

Calls

3 calls:

7.0ms

(*.f64 t (*.f64 t (*.f64 1/5000000000000000 (sqrt.f64 1/25000000000000000000000000000000))))

4.0ms

(*.f64 t (*.f64 1/5000000000000000 (sqrt.f64 1/25000000000000000000000000000000)))

3.0ms

(*.f64 1/5000000000000000 (sqrt.f64 1/25000000000000000000000000000000))

simplify66.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

372×	`distribute-rgt-in_binary64`
354×	`times-frac_binary64`
316×	`associate-+l+_binary64`
266×	`associate-l_binary64`
249×	`fma-def_binary64`

Counts

91 → 99

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	611
1	138	541
2	305	526
3	511	524
4	751	524
5	1290	524
6	3254	524
7	4910	524

prune50.0ms (2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	99	5	104

Error

Counts

104 → 5

Alt Table

Status	Error	Program
✓	0.4b	(.f64 t (.f64 t 1/25000000000000000000000000000000))
	0.6b	(cbrt.f64 (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 (.f64 t 1/25000000000000000000000000000000) (.f64 t 1/25000000000000000000000000000000)) (.f64 t 1/25000000000000000000000000000000))))
✓	0.5b	(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
✓	0.6b	(.f64 t (.f64 t (*.f64 1/5000000000000000 (sqrt.f64 1/25000000000000000000000000000000))))
✓	0.3b	(.f64 t (.f64 (*.f64 t 1/5000000000000000) (sqrt.f64 1/25000000000000000000000000000000)))

Compiler

Compiled 1226 to 914 computations (25.4% saved)

regimes128.0ms (5.2%)

Accuracy

Total 0.4b remaining (98.3%)

Threshold costs 0.4b (98.3%)

Counts

49 → 1

Compiler

Compiled 1741 to 1245 computations (28.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	11	10
2	10	10

end0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

sample1.4s (56.2%)

Algorithm

1×

intervals

Results

954.0ms	8000×	body	256	valid
134.0ms	8000×	pre	128	true

Compiler

Compiled 85 to 65 computations (23.5% saved)

Details

analyze1.0ms (0.1%)

sample214.0ms (8.7%)

simplify167.0ms (6.8%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

series4.0ms (0.2%)

rewrite10.0ms (0.4%)

simplify74.0ms (3%)

prune39.0ms (1.6%)

localize6.0ms (0.2%)

series6.0ms (0.2%)

rewrite17.0ms (0.7%)

simplify77.0ms (3.2%)

prune48.0ms (2%)

localize3.0ms (0.1%)

series3.0ms (0.1%)

rewrite12.0ms (0.5%)

simplify78.0ms (3.2%)

prune30.0ms (1.2%)

localize5.0ms (0.2%)

series7.0ms (0.3%)

rewrite17.0ms (0.7%)

simplify66.0ms (2.7%)

prune50.0ms (2%)

regimes128.0ms (5.2%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.4s (56.2%)

Profiling